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中国物理学会期刊

关于引力场的能量问题

CSTR: 32037.14.aps.30.46

ON THE PROBLEM OF THE ENERGY OF GRAVITATIONAL FIELD

CSTR: 32037.14.aps.30.46
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  • 本文讨论引力场中局部区域的能量问题。这里提出了一个新的引力场总能量-动量赝张量密度,它所表示的引力场局部空间区域中的能量对纯空间坐标变换是不变量,因而引力场的局部区域能量具有确定的物理意义。关于Schwarzschild场的能量和动量,新的赝张量给出的结果要比现有广义相对论文献中的其他形式的赝张量所给出的结果较为合理。文中还讨论了在引力理论中质量与能量的关系问题。

     

    In this paper, we discuss the problem of the local energy content in gravitational fields. A new total energy-momentum density pseudo-tensor of gravitational field is given In this paper. The energy content in any part of a gravitational field given by the new pseudo-tensor is an invariant under arbitrary purely spatial transformation, hence the local energy content in the gravitational field has a well-defined physical meaning. For the energy and momentum of a Schwarzschild gravitational field, the results given by the new pseudo-tensor are more reasonable than those given by other pseudo-tensors pro-posed in the literatures of the general theory of relativity.The relation between mass and energy in the theory of gravitation is also discussed.

     

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